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# Of the following, which is least?

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Math Expert
Joined: 02 Sep 2009
Posts: 59587
Of the following, which is least?  [#permalink]

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11 Dec 2017, 22:43
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Difficulty:

35% (medium)

Question Stats:

63% (01:05) correct 37% (01:05) wrong based on 212 sessions

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Of the following, which is least?

A. $$\frac{-0.7}{0.000012}$$

B. $$\frac{0.7}{-0.00012}$$

C. $$-\frac{0.7}{0.0012}$$

D. $$(\frac{0.012}{-0.7})^{(-1)}$$

E. $$-\frac{0.7}{0.12}$$

_________________
Math Expert
Joined: 02 Aug 2009
Posts: 8281
Of the following, which is least?  [#permalink]

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11 Dec 2017, 23:23
Bunuel wrote:
Of the following, which is least?

A. $$\frac{-0.7}{0.000012}$$

B. $$\frac{0.7}{-0.00012}$$

C. $$-\frac{0.7}{0.0012}$$

D. $$(\frac{0.012}{-0.7})^{(-1)}$$

E. $$-\frac{0.7}{0.12}$$

A NEGATIVE sign will mean the SAME irrespective of it at numerator or denominator..
D has -1 as power, so we will have reciprocal of the fraction $$\frac{-0.7}{0.012}$$

So ALL choices are negative and with same numerator 0.7..
So let's concentrate on denominator only..

LOWER the denominator, HIGHER the value of fraction if positive and LOWER the value of fraction if NEGATIVE.

0.000012 is the lowest value making $$\frac{-0.7}{0.000012}$$ the least

A
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Posts: 59587
Re: Of the following, which is least?  [#permalink]

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11 Dec 2017, 23:25
chetan2u wrote:
Bunuel wrote:
Of the following, which is least?

A. $$\frac{-0.7}{0.000012}$$

B. $$\frac{0.7}{-0.00012}$$

C. $$-\frac{0.7}{0.0012}$$

D. $$(\frac{0.012}{-0.7})^{(-1)}$$

E. $$-\frac{0.7}{0.12}$$

A NEGATIVE sign will mean the SAME irrespective of it at numerator or denominator..
D has two NEGATIVE signs making it POSITIVE.... Eliminate.

Remaining choices are negative and with same numerator 0.7..
So let's concentrate on denominator only..

LOWER the denominator, HIGHER the value of fraction if positive and LOWER the value of fraction if NEGATIVE.

0.000012 is the lowest value making $$\frac{-0.7}{0.000012}$$ the least

A

D is $$(\frac{0.012}{-0.7})$$ to the power of -1. Does it look like a multiplication? I'll try to edit somehow if it does.
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Math Expert
Joined: 02 Aug 2009
Posts: 8281
Re: Of the following, which is least?  [#permalink]

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11 Dec 2017, 23:38
Bunuel wrote:
chetan2u wrote:
Bunuel wrote:
Of the following, which is least?

A. $$\frac{-0.7}{0.000012}$$

B. $$\frac{0.7}{-0.00012}$$

C. $$-\frac{0.7}{0.0012}$$

D. $$(\frac{0.012}{-0.7})^{(-1)}$$

E. $$-\frac{0.7}{0.12}$$

A NEGATIVE sign will mean the SAME irrespective of it at numerator or denominator..
D has two NEGATIVE signs making it POSITIVE.... Eliminate.

Remaining choices are negative and with same numerator 0.7..
So let's concentrate on denominator only..

LOWER the denominator, HIGHER the value of fraction if positive and LOWER the value of fraction if NEGATIVE.

0.000012 is the lowest value making $$\frac{-0.7}{0.000012}$$ the least

A

D is $$(\frac{0.012}{-0.7})$$ to the power of -1. Does it look like a multiplication? I'll try to edit somehow if it does.

Actually -1 is at the level of numerator and seemed to be in the same line, so misread it. Thanks
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Joined: 20 Feb 2015
Posts: 20
Location: United States
Re: Of the following, which is least?  [#permalink]

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11 Dec 2017, 23:39
Numerator of all choices is 0.7.
Compare denominators: 0.12>0.012>0.0012>0.00012>0.000012.
Combine: the higher denominator, the lower fraction: 0.7/0.12 < 0.7/0.012 <0.7/0.0012 <0.7/0.00012 <0.7/0.000012
Intern
Joined: 05 Mar 2015
Posts: 41
Location: Azerbaijan
GMAT 1: 530 Q42 V21
GMAT 2: 600 Q42 V31
GMAT 3: 700 Q47 V38
Re: Of the following, which is least?  [#permalink]

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12 Dec 2017, 03:19
When a positive number is divided by a number between 0 and 1 the result (quotient) gets bigger, the smaller the divisor, the bigger the quotient.

When a negative number is divided by a number between 0 and 1 the result gets smaller (moves to the left on the number line), the smaller the divisor, the smaller the quotient

in A divisor is the smallest among the denominators. Therefore the result of A will be furthest to the left on the number line

hope it helps
Math Expert
Joined: 02 Sep 2009
Posts: 59587
Re: Of the following, which is least?  [#permalink]

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24 Dec 2018, 04:45
Bunuel wrote:
Of the following, which is least?

A. $$\frac{-0.7}{0.000012}$$

B. $$\frac{0.7}{-0.00012}$$

C. $$-\frac{0.7}{0.0012}$$

D. $$(\frac{0.012}{-0.7})^{(-1)}$$

E. $$-\frac{0.7}{0.12}$$

_________________
Re: Of the following, which is least?   [#permalink] 24 Dec 2018, 04:45
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